Estimate of the critical exponents from the field-theoretical renormalization group: Mathematical meaning of the "standard Values"

Journal of Experimental and Theoretical Physics

Volumn 106, Issue 6, 2008, Pages 1118-1129

  Pogorelov, A A ^a   Suslov, I M ^a  

^a KAPITZA INSTITUTE FOR PHYSICAL PROBLEMS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ESTIMATION; STANDARDS; STATISTICAL MECHANICS; SYSTEMATIC ERRORS;

COEFFICIENT FUNCTIONS; CRITICAL EXPONENTS; DIVERGENT SERIES; RENORMALIZATION GROUP (RNG); STANDARD VALUES; SYSTEMATIC (CO);

ERROR ANALYSIS;

EID: 47849125540     PISSN: 10637761     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1063776108060113     Document Type: Article

References (27)

1. E. Brezin, J. C. Le Guillou, and J. Zinn-Justin, in Phase Transitions and Critical Phenomena, Ed. by C. Domb and M. S. Green (Academic, New York, 1976) Vol. VI.
2. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1976; Butterworth-Heinemann, Oxford, 1984).
3. L. N. Lipatov, Zh. Eksp. Teor. Fiz. 72(2), 411 (1977) [Sov. Phys. JETP 45 (2), 216 (1977)].
4. E. Brezin and G. Parisi, J. Stat. Phys. 19, 269 (1978).
5. G. A. Baker, Jr., B. G. Nickel, and D. I. Meiron, Phys. Rev. Lett. 36, 1351 (1976); Phys. Rev. Be 17, 1365 (1978).
6. J. C. Le Guillou and J. Zinn-Justin, Phys. Rev. Lett. 39, 95 (1977); Phys. Rev. B 21, 3976 (1980).
7. R. Guida and J. Zinn-Justin, J. Phys. A 31, 8103 (1998).
8. I. M. Suslov, Zh. Eksp. Teor. Fiz. 120(1), 5 (2001) [JETP 93 (1), 1 (2001)].
9. I. M. Suslov, Zh. Eksp. Teor. Fiz. 127(6), 1350 (2005) [JETP 100 (6), 1188 (2005)].
10. I. M. Suslov, Zh. Eksp. Teor. Fiz. 116(2), 369 (1999) [JETP 89 (2), 197 (1999)].
11. A. I. Mudrov and K. B. Varnashev, Phys. Rev. E 58, 1 (1998).
12. 4-Theories (World Sci., Singapore, 2001).
13. A. A. Pogorelov and I. M. Suslov, Zh. Eksp. Teor. Fiz. 132(2), 406 (2007) [JETP 105 (2), 360 (2007)].
14. H. Kleinert, Phys. Rev. D 60, 085001 (1999).
15. F. Jasch and H. Kleinert, J. Math. Phys. 42, 52 (2001).
16. A. A. Pogorelov and I. M. Suslov, Pis'ma Zh. Éksp. Teor. Fiz. 86(1), 41 (2007) [JETP Lett. 86 (1), 39 (2007)].
17. A. Pelissetto and E. Vicari, Phys. Rep. 368, 549 (2002).
18. M. Campostrini, M. Hasenbusch, A. Pelissetto, et al., Phys. Rev. B 65, 144520 (2002).
19. M. Campostrini, M. Hasenbusch, A. Pelissetto, and E. Vicari, Phys. Rev. B 74, 144506 (2006).
20. L. S. Goldner, N. Mulders, and G. Ahlers, J. Low Temp. Phys. 93, 131 (1993).
21. J. A. Lipa, D. R. Swanson, J. A. Nissen, et al., Phys. Rev. Lett. 76, 944 (1996).
22. J. A. Lipa, D. R. Swanson, J. A. Nissen, et al., Phys. Rev. Lett. 84, 4894 (2000), see footnote 15.
23. J. A. Lipa, J. A. Nissen, D. A. Stricker et al., Phys. Rev. B 68, 174518 (2003).
24. A. Pelissetto and E. Vicari, E-print archives, cond-mat/0703114.
25. T. Prellberg, J. Phys. A 34, L599 (2001).
26. P. Belohorec and B. G. Nickel, Accurate Universal and Two-Parameter Model Results from a Monte Carlo Renormalization Group Study (Guelph University Report, Guelph, Canada, 1997).
27. J. P. Eckmann, J. Magnen, and R. Seneor, Commun. Math. Phys. 39, 251 (1975); J. S. Feldman and K. Osterwalder, Ann. Phys. (San Diego, CA) 97, 80 (1976); J. Magnen and R. Seneor, Commun. Math. Phys. 56, 237 (1977); J. P. Eckmann and H. Epstein, Commun. Math. Phys. 68, 245 (1979).